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The tank shown below is full of water. Using the fact that the density of water is 1000kg/m3, find the work (in joules) required to pump the water out of the outlet. Make sure your answer is correct to within one thousand joules. Hint: Evaluate the integral by interpreting part of it as the area of a circle.
a baseball and football together weigh 1.25 pounds, the baseball and soccer ball weigh 1.35 pounds, and the football and a soccer ball weigh 1.9 pounds. How much does each ball weigh.
The cover of the tank is a hemisphere with outside radius of 20ft and inside radius of 18ft. How much concrete was used in the cover?
The coarseness of the sand is such that it forms a pile in the shape of a cone with the radius of the base always 1/2 the height. How fast is the height increasing when the pile is 15 feet high?
identify something you would like to improve such as a daily process or procedure a personal habit or routine. this
Dividing a complex number with another number.
Calculate the points of intersection of the graphs. Sketch by hand the region bounded by the graphs. Set up and evaluate the definite integral for the area of the region.
create a set representing a real-life group of things and write it in roster notation. the members of the set can be
Hamilton Quaternions : Kernels and Images, Show that the map phi: H->M_2(C) defined by phi(a+bi+cj+dk)=(a+b(sqrt -1),c+d(sqrt-1);-c+d(sqrt-1),a-b(sqrt-1)) is a ring homomorphism
List all the elements of X that are less than 30 - the set X of all binary strings having the same number of O's and 1's is defined
Without graphing, can you use the slope to determine whether there is a solution for a system of two linear equations in two unknowns? How?
peed of a stream is 4 mph. If a boat travels 44 miles downstream in the same time that it takes to travel 22 miles upstream, what is the speed of the boat in still water?
What is the probability that is at most the observed value of 4.62?
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